A complete characterization of reachable sets for constrained linear time varying systems

1986 ◽  
Author(s):  
J. Lasserre
Keyword(s):  
Linear Time ◽  
Complete Characterization ◽  
Reachable Sets ◽  
Time Varying ◽  
Time Varying Systems

scholarly journals Control and Filtering Problems for Linear Time-Varying Systems Based on Ellipsoidal Reachable Sets

2020 ◽  
Vol 53 (2) ◽  
pp. 7280-7285
Author(s):  
Dmitry V. Balandin ◽  
Ruslan S. Biryukov ◽  
Mark M. Kogan
Keyword(s):  
Linear Time ◽  
Reachable Sets ◽  
Time Varying ◽  
Time Varying Systems

Characterization of index for linear time-varying systems

Automatica ◽  
2013 ◽  
Vol 49 (5) ◽  
pp. 1449-1457 ◽  
Author(s):  
Xiaobo Li ◽  
Hugh H.T. Liu
Keyword(s):  
Linear Time ◽  
Time Varying ◽  
Time Varying Systems

scholarly journals Stability of Time Varying Systems

1995 ◽  
Author(s):  
Fritz Colonius ◽  
Wolfgang Kliemann
Keyword(s):  
Linear Time ◽  
Hyperbolic Systems ◽  
Type Theorem ◽  
Time Varying ◽  
Time Varying Systems ◽  
Stable Manifold Theorem ◽  
The Stability ◽  
Stability Type ◽  
Stability Radii

Abstract The stability behavior of time varying systems can be studied using the concept of Lyapunov exponents and their corresponding Lyapunov subspaces. For linear time varying systems the entire Lyapunov spectrum can be approximated by the Floquet exponents of periodic systems. This leads to a variety of stability results, including the characterization of stability radii. Furthermore, a structural stability type theorem shows that stability features of time varying hyperbolic systems persist under small perturbations. For nonlinear time varying systems a stable manifold theorem allows us to interpret the linear results for the nonlinear system locally around an equilibrium point.

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